t^6+2t^3=35

Solution for t^6+2t^3=35 equation:

Simplifying
t6 + 2t3 = 35

Reorder the terms:
2t3 + t6 = 35

Solving
2t3 + t6 = 35

Solving for variable 't'.

Reorder the terms:
-35 + 2t3 + t6 = 35 + -35

Combine like terms: 35 + -35 = 0
-35 + 2t3 + t6 = 0

Factor a trinomial.
(-7 + -1t3)(5 + -1t3) = 0

Subproblem 1
Set the factor '(-7 + -1t3)' equal to zero and attempt to solve:

Simplifying
-7 + -1t3 = 0

Solving
-7 + -1t3 = 0

Move all terms containing t to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1t3 = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1t3 = 0 + 7
-1t3 = 0 + 7

Combine like terms: 0 + 7 = 7
-1t3 = 7

Divide each side by '-1'.
t3 = -7

Simplifying
t3 = -7

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(5 + -1t3)' equal to zero and attempt to solve:

Simplifying
5 + -1t3 = 0

Solving
5 + -1t3 = 0

Move all terms containing t to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -1t3 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1t3 = 0 + -5
-1t3 = 0 + -5

Combine like terms: 0 + -5 = -5
-1t3 = -5

Divide each side by '-1'.
t3 = 5

Simplifying
t3 = 5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.